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Biyernes, Marso 23, 2012

QUOTATIONS ABOUT GEOMETRY AND MATH




"Inspiration is needed in geometry, just as much as in poetry."
 Alexander Pushkin 

"Nobody untrained in geometry may enter my house."
 Albrecht Durer

"Everything one invents is true, you may be perfectly sure of that. Poetry is as precise as geometry."
Arthur Cayley 



"Music is the arithmetic of sounds as optics is the geometry of light."
 Joseph J Sylvester (1814 to 1897) 

"There is geometry in the humming of the strings, there is music in the spacing of the spheres."
Carl Friedrish (1777 to 1855) 

"It is hard to convince a high-school student that he will encounter a lot of problems more difficult than those of algebra and geometry."
Farkas Bolyai (1775 to 1856) 

"There are no sects in geometry."
-unknown

"And since geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art."
  Jose Saramago

"Poetry is as exact a science as geometry."
Pythagoras

"A straight line is shortest in morals as well as in geometry."
  Archimedes

"The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry."
Bernard de Fontenelle

"Crystals grew inside rock like arithmetic flowers. They lengthened and spread, added plane to plane in an awed and perfect obedience to an absolute geometry that even stones -- maybe only the stones -- understood." 
 Carl Friedrish

"The two elements the traveler first captures in the big city are extrahuman architecture and furious rhythm. Geometry and anguish."
 Augustus De Morgan


"There are some who, because the point is the limit and extreme of the line, the line of the plane, and the plane of the solid, think there must be real things of this sort."
Albrecht Ducer (1471 to 1528) 

"The composer opens the cage door for arithmetic, the draftsman gives geometry its freedom."
John Dee (1527 to 1608)


" Projective geometry is all geometry."
   Archimedes

       "There isgeometry inthehumming of thestrings.There is music in the
         spacings of the spheres."
          John Dee

       "One geometry can not be more true than another; it can only be more 
         convenient. Geometry is not true, it is advantageous."
          Archimedes

    "Geometry is that part of universal mechanics which accurately proposes
 and demonstrates the art of measuring."
  Sir Christopher Wren

       "But even Archimedes was not free from the prevailing notion that 
geometry was  degraded by being employed to produce anything useful. 
It was with difficulty that he was induced to stoop from speculation to practice. 
He was half ashamed of those inventions which were the wonder of hostile 
nations, and always spoke of them slightingly as mere amusements, as trifles
 in which a mathematician might be suffered to relax his mind after intense
 application to the higher parts of his science."
Federico Garcia Lorca

"Night Geometryand the GarscaddenTrains."
  John E Littlewood

"In Geometry (which is the only science that it hath pleased God hithertotobestowonmankind) men begin at settling the significations of 
their words; which†they call Definitions."
Jean Cochetuc

"There is no'royal road'to geometry."
Sir Isaac Newton

"Let no-one enter who does not know his geometry."
Aristotle 

"His way had therefore come full circle, or rather had taken the form of an
 ellipse or a spiral, following as ever no straight unbroken line, for the
 rectilinear belongs only to Geometry and not to Nature and Life."
The World of Mathematics" edited by J.R. Newman 

"Everybody at the party is a many sided polygon....Nonagon!"
  Arthur Cayley



"I would say, if you like, that the party is like an out-moded
mathematics...that isto say, the mathematics of Euclid. We need to
 invent a non-Euclidian mathematicswith respect to political discipline."
James Jones, The Thin Red Line

"In reality the universe has no geometry."
Kedar Joshi, Superultramodern Science And Philosophy

"Give me a place to stand, a lever long enough and a fulcrum. and I can
 move the Earth"
Janos Bolyai (1802 to 1860) 


"The cowboys have a way of trussing up a steer or a pugnacious bronco
 which fixes the brute so that it can neither move nor think. This is the hog-tie,
 and it is what Euclid did to geometry."
Bernard de Fontenelle (1657 to 1757) 

"Projective geometry has opened up for us with the greatest facility new 
territories in our science, and has rightly been called the royal road to our 
particular field of knowledge."
Thomas Hobbes (1588 to 1629)

"As long as algebra and geometry have been separated, their progress
 have been slow and their uses limited; but when these two sciences have
 been united, they have lent each mutual forces, and have marched together
 towards perfection."
Sir Christopher Wren (1632 to1723) 

"The description of right lines and circles, upon which geometry is founded,
 belongs to mechanics. Geometry does not teach us to draw these lines,
 but requires them to be drawn. "
Joseph-Louis Lagrange (1736 to 1813) 

"A work of morality, politics, criticism will be more elegant, other things 
being equal, if it is shaped by the hand of geometry."
Augustus De Morgan (1806 to 1871) 

"A youth who had begun to read geometry with Euclid, when he had learnt the
first proposition, inquired, "What do I get by learning these things?" So Euclid 
called a slave and said "Give him threepence, since he must make a 
gain out of what he learns."
Stobaeus, Extracts

"I am coming more and more to the conviction that the necessity of our 
geometry cannot be demonstrated, at least neither by, nor for, the human 
intellect...geometry should be ranked, not with arithmetic, which is purely
 aprioristic, but with mechanics."
Joseph J Sylvester (1814 to 1897) 





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